Integral formula for elliptic SOS models with domain walls and a reflecting end

TL;DR

This paper derives a new multiple-integral formula for the partition function of elliptic SOS models with domain walls and a reflecting end, using the dynamical reflection algebra to establish a functional equation.

Contribution

It introduces a novel integral formula for elliptic SOS models with specific boundary conditions, extending previous algebraic approaches.

Findings

Derived a functional equation for the partition function.

Established a multiple-integral representation for the partition function.

Enhanced understanding of boundary effects in elliptic SOS models.

Abstract

In this paper we extend previous work of Galleas and the author to elliptic SOS models. We demonstrate that the dynamical reflection algebra can be exploited to obtain a functional equation characterizing the partition function of an elliptic SOS model with domain-wall boundaries and one reflecting end. Special attention is paid to the structure of the functional equation. Through this approach we find a novel multiple-integral formula for that partition function.